From Middle English inlāte (“inlet, entrance”), from inleten (“to let in”), equivalent to in- + let. Compare Low German inlat (“inlet”), German Einlass (“inlet, entrance”).
From Middle English inleten, equivalent to in- + let. Cognate with Dutch inlaten (“to let in, admit”), Low German inlaten (“to let in”), German einlassen (“to admit, let in”), Swedish inlåta (“to enter, engage”).